Search a number
-
+
114545441984 = 26234312171487
BaseRepresentation
bin110101010101101110…
…0001011110011000000
3101221122212110100120012
41222223130023303000
53334042113120414
6124342122204052
711163354122621
oct1525334136300
9357585410505
10114545441984
114463aa08a36
121a249053628
13aa5612424c
145788b5ba48
152ea61b033e
hex1aab70bcc0

114545441984 has 112 divisors (see below), whose sum is σ = 243062443008. Its totient is φ = 53428666368.

The previous prime is 114545441981. The next prime is 114545442001. The reversal of 114545441984 is 489144545411.

It is not an unprimeable number, because it can be changed into a prime (114545441981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77030489 + ... + 77031975.

It is an arithmetic number, because the mean of its divisors is an integer number (2170200384).

Almost surely, 2114545441984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114545441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121531221504).

114545441984 is an abundant number, since it is smaller than the sum of its proper divisors (128517001024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114545441984 is a wasteful number, since it uses less digits than its factorization.

114545441984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2772 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 50.

The spelling of 114545441984 in words is "one hundred fourteen billion, five hundred forty-five million, four hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 172 184 344 368 688 736 989 1217 1376 1472 1487 1978 2434 2752 2974 3956 4868 5948 7912 9736 11896 15824 19472 23792 27991 31648 34201 38944 47584 52331 55982 63296 63941 68402 77888 95168 104662 111964 127882 136804 209324 223928 255764 273608 418648 447856 511528 547216 837296 895712 1023056 1094432 1203613 1470643 1674592 1791424 1809679 2046112 2188864 2407226 2941286 3349184 3619358 4092224 4814452 5882572 7238716 9628904 11765144 14477432 19257808 23530288 28954864 38515616 41622617 47060576 57909728 77031232 77816197 83245234 94121152 115819456 155632394 166490468 311264788 332980936 622529576 665961872 1245059152 1331923744 1789772531 2490118304 2663847488 3579545062 4980236608 7159090124 14318180248 28636360496 57272720992 114545441984